GCD of 384, 522, 138, 789 Calculator

Given Input numbers are 384, 522, 138, 789

In the factoring method, we have to find the divisors of all numbers

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (384, 522, 138, 789) = 3.

Given numbers are 384, 522, 138, 789

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 384, 522, 138, 789 is 3.

Given numbers are 384, 522, 138, 789

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(384, 522) = 33408

GCD(384, 522) = ( 384 x 522 ) / 33408

= 384 / 522

= 384

Step2:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

Step3:

LCM(6, 789) = 1578

GCD(6, 789) = ( 6 x 789 ) / 1578

= 6 / 789

= 6

So, Greatest Common Divisor of 384, 522, 138, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 190, 272, 456
• GCD of 307, 717, 421, 101
• GCD of 118, 967, 947, 692
• GCD of 344, 482, 653, 239
• GCD of 397, 460, 964, 118

Given numbers are 384, 522, 138, 789
The greatest common divisor of numbers 384, 522, 138, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 522, 138, 789 is 3.

1. What is the GCD of 384, 522, 138, 789?

GCD of given numbers 384, 522, 138, 789 is 3

2. How to calculate the greatest common divisor of 384, 522, 138, 789?

We can find the highest common divisor of 384, 522, 138, 789 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 384, 522, 138, 789 i.e 3.

3. How can I use the GCD of 384, 522, 138, 789Calculator?

Out the numbers 384, 522, 138, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.